ABSTRACT

Let f a transcendental meromorphic function. For a wandering domain U of the Fatou set F(f), let U n denote the component of F(f) which contains f n(U). Two wandering domains U o and V o will be said to have a common path if U n = V m for some n, m. If U n ≠ V m for all n, m then U o and V o will be said to have distinct paths. In this paper we show the existence of infinitely many wandering domains each having distinct path and satisfying various conditions.